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Finding the Fourth Proportional to 242,261.36, 334,131 and 157,406

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Solution

The fourth proportional to 242,261.36, 334,131 and 157,406 is: 217,097.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,261.36 : 334,131 = 157,406 : x
  2. Step 2: Convert to fraction form
    242,261.36/334,131 = 157,406/x
  3. Step 3: Cross multiply
    242,261.36x = 334,131 × 157,406
  4. Step 4: Simplify right side
    242,261.36x = 52,594,224,186
  5. Step 5: Solve for x
    x = 52,594,224,186/242,261.36
  6. Step 6: Final answer
    x = 217,097.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.